Scalar field condensation behaviors around reflecting shells in Anti-de Sitter spacetimes

Abstract

We study scalar condensations around asymptotically Anti-de Sitter(AdS) regular reflecting shells. We show that the charged scalar field can condense around charged reflecting shells with both Dirichlet and Neumann boundary conditions. In particular, the radii of the asymptotically AdS hairy shells are discrete, which is similar to cases in asymptotically flat spacetimes. We also provide upper bounds for the radii of the hairy Dirichlet reflecting shells and above the bound, the scalar field cannot condense around the shell.

10 pages,3 figures

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Cited by in corpus (21)

• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• On instabilities of scalar hairy regular compact reflecting stars
• The extreme orbital period in scalar hairy kerr black holes
• Hair mass bound in the black hole with nonzero cosmological constants
• Hair distributions in noncommutative Einstein-Born-Infeld black holes
• Hair formation in the background of noncommutative reflecting stars
• Scalarization of compact stars in the scalar-Gauss-Bonnet gravity
• Upper bound on the radii of regular ultra-compact star photonspheres
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• Large regular reflecting stars have no scalar field hair
• Stationary scalar hairy configurations supported by Neumann compact stars
• No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars
• No scalar hair theorem for neutral Neumann stars: static massive scalar fields nonminimally coupled to gravity
• No-go theorem for static boson stars with negative cosmological constants
• No hair theorem for bound-state massless static scalar fields outside horizonless Neumann compact stars
• A no-go theorem for scalar fields with couplings from Ginzburg-Landau models
• No scalar condensations outside reflecting stars with coupling terms from Ginzburg-Landau models
• Thermodynamics of general flat space and boson star quasi-local systems
• Analytical investigations on non-minimally coupled scalar fields outside neutral reflecting shells
• On instabilities of stationary scalar field configurations supported by reflecting compact stars